Question

A bag contains one rupee, fifty paise and 25 paise coins in ratio 1 is to 2 is to 3 respectively. If total value of the coin is Rs 330 find the total number of coins and also find the number of coins in each denomination.

Answer 1

AnswEr :

• Rs. 1 : 50 paise : 25 paise = 1 : 2 : 3
• Total Value of Coins = Rs. 330

Either convert all Terms in Paise or Rupees, I'm converting all terms in Paise.

Let Number of Coins be n, 2n & 3n.

• According to the Question Now :

↠ Total value of coins = Rs. 330

↠ (No. × Value) of each terms = Rs. 330

↠ (Rs. 1 × n) + (50 paise × 2n) + (25 paise × 3n) = Rs. 330

• Converting all terms into paise

↠ (100 × n) + 100n + 75n = 330 × 100

↠ 100n + 100n + 75n = 33,000

↠ 275n = 33,000

• Dividing both term by 275

↠ n = 120

_______________________________

• D E N O M I N A T I O N S :

◗ Rs. 1 = n = 120 Coins

◗ 50 paise = 2n = 2(120) = 240 Coins

◗ 25 paise = 3n = 3(120) = 360 Coins

━━━━━━━━━━━━━━━━━━━━━━━━

• VALUE OF EACH DENOMINATIONS :

◗ Rs. 1 = n × 1 = 120 × 1 = Rs. 120

◗ 50 paise = 2n × 1/2 = n = Rs. 120

◗ 25 paise = 3n × 1/4 = 360 × 1/4 = Rs. 90

∴ Number of Rs. 1, 50 paise & 25 paise will be 120, 240 & 360 with value of Rs. 120, Rs. 120 & Rs. 90 respectively.

Answer 2

$\bf{\Huge{\boxed{\underline{\sf{\pink{ANSWER\::}}}}}}$

$\bf{\large{\underline{\bf{Given\::}}}}$

A bag contains one rupee, fifty paise and 25 paise coins in ratio 1:2:3 respectively. If total value of the coin is 330.

$\bf{\Large{\underline{\bf{To\:find\::}}}}$

The total number of coins & also the number of coins in each denomination.

$\bf{\Large{\underline{\tt{\red{Explanation\::}}}}}$

Let the ratio be R.

So,

• R
• 2R
• 3R

$\bf{We\:have,\:in\:a\:bag}\begin{cases}\rm{1 rupee\:=\:100\:Paisa}\\ \rm{50\:Paisa}\\ \rm{25\:Paisa}\end{cases}}$

A/q

$\begin{cases}\sf{1.(R*100P)\:=\:100R}\\ \sf{2.(2R*50P)\:=\:100R}\\ \sf{3.(3R*25P)\:=\:75R}\\ \sf{4.(330*100)=33000}\end{cases}}$

__________________________________

$\longmapsto\sf{100R\:+\:100R\:+\:75R\:=\:33000}$

$\longmapsto\sf{275R\:=\:33000}$

$\longmapsto\sf{R\:=\:\cancel{\frac{33000}{275} }}$

$\longmapsto\sf{\boxed{\tt{\purple{R\:=\:120}}}}$

Total number of coins is 120.

$\bf{\Large{\boxed{\sf{The\:number\:of\:coins\::}}}}}$

• 1 Rupee = 120.
• 50 paisa = 2(120) = 240.
• 25 paisa = 3(120) = 360.